find the amplitude and period of the function. y = - 3/4 sin 2x give the exact values, not decimal…
find the amplitude and period of the function. y = - 3/4 sin 2x give the exact values, not decimal approximations. amplitude: period:
Answer
Explanation:
Step1: Recall amplitude formula
For $y = A\sin(Bx)$, amplitude is $|A|$. Here $A =-\frac{3}{4}$, so amplitude $=\left|-\frac{3}{4}\right|=\frac{3}{4}$.
Step2: Recall period formula
For $y = A\sin(Bx)$, period is $\frac{2\pi}{|B|}$. Here $B = 2$, so period $=\frac{2\pi}{|2|}=\pi$.
Answer:
Amplitude: $\frac{3}{4}$ Period: $\pi$